a-population-has-a-mean-of-5050-and-a-standard-deviation-of-44-if-a-random-sampl

Question

A population has a mean of $50$ and a standard deviation of $4$ . If a random sample of size $100$ is taken, what is the probability that the sample mean is greater than $50.7$ ? Would this sample mean be considered unusual?

Accepted Answer

$0.0401$

Yes

Answer

<math alttext="0.0401" data-value="0.0401"><semantics><mrow><mn>0.0401</mn></mrow><annotation>0.0401</annotation></semantics></math> No

Answer

<math alttext="0.4010" data-value="0.4010"><semantics><mrow><mn>0.4010</mn></mrow><annotation>0.4010</annotation></semantics></math>No

Answer

$0.0401$

Yes

A population has a mean of 5050 and a standard deviation of 44. If a random sample of size 100100 is taken, what is the probability that the sample mean is greater than 50.750.7? Would this sample mean be considered unusual?

A population has a mean of $50$ and a standard deviation of $4$ . If a random sample of size $100$ is taken, what is the probability that the sample mean is greater than $50.7$ ? Would this sample mean be considered unusual?